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Poisson Geometry, Deformation Quantisation and Group Representations

Poisson Geometry, Deformation Quantisation and Group Representations

Poisson Geometry, Deformation Quantisation and Group Representations

Simone Gutt, Université Libre de Bruxelles
John Rawnsley, University of Warwick
Daniel Sternheimer, Université de Bourgogne, France
June 2005
Available
Paperback
9780521615051
£73.99
GBP
Paperback
USD
eBook

    Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer.

    • Presents an introduction to the subject from a small group of leading researchers
    • A volume accessible to graduate students or experts from other fields
    • Contributions from an array of leading researchers in the field

    Product details

    June 2005
    Paperback
    9780521615051
    370 pages
    229 × 152 × 21 mm
    0.54kg
    Available

    Table of Contents

    • 1. Poisson geometry and Morita equivalence Henrique Bursztyn and Alan Weinstein
    • 2. Formality and star products Alberto S. Cattaneo and D. Indelicato
    • 3. Lie groupoids, sheaves and cohomology Ieke Moerdijk and Janez Mrcun
    • 4. Geometric methods in representation theory Wilfried Schmid and Matvei Libine
    • 5. Deformation theory: a powerful tool in physics modelling Daniel Sternheimer.
      Contributors
    • Henrique Bursztyn, Alan Weinstein, Alberto S. Cattaneo, D. Indelicato, Ieke Moerdijk, Janez Mrcun, Wilfried Schmid, Matvei Libine, Daniel Sternheimer

    • Editors
    • Simone Gutt , Université Libre de Bruxelles
    • John Rawnsley , University of Warwick
    • Daniel Sternheimer , Université de Bourgogne, France